CORRESPONDENCE BETWEEN ORBITAL VARIETIES AND SETS OF SUBSPACES STABLE UNDER NILPOTENT ENDOMORPHISM
From the bijective correspondence between standard tableaux T of shape λ and left LR (Littlewood-Richardson) words L of weight (conjugate of λ), we show that generic points of orbital variety and set of subspaces stable under a nilpotent linear endomorphism describe each other. Here, is the word tableau associated to L. As a result, orderings defined by inclusions of closures correspond (Theorem A).
Jordan type, orbital variety, Littlewood-Richardson tableau.
